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Finding the Fourth Proportional to 311,297.40, 466,946.10 and 86,657.40

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Solution

The fourth proportional to 311,297.40, 466,946.10 and 86,657.40 is: 129,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,297.40 : 466,946.10 = 86,657.40 : x
  2. Step 2: Convert to fraction form
    311,297.40/466,946.10 = 86,657.40/x
  3. Step 3: Cross multiply
    311,297.40x = 466,946.10 × 86,657.40
  4. Step 4: Simplify right side
    311,297.40x = 40,464,334,966.14
  5. Step 5: Solve for x
    x = 40,464,334,966.14/311,297.40
  6. Step 6: Final answer
    x = 129,986.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.